Optimal sensor selection in binary heterogeneous sensor networks

  • Authors:
  • Marcelino Lázaro;Matilde Sánchez-Fernández;Antonio Artés-Rodríguez

  • Affiliations:
  • Departamento de Teoría de la Señal y Comunicaciones, Universidad Carlos III de Madrid, Leganés, Madrid, Spain;Departamento de Teoría de la Señal y Comunicaciones, Universidad Carlos III de Madrid, Leganés, Madrid, Spain;Departamento de Teoría de la Señal y Comunicaciones, Universidad Carlos III de Madrid, Leganés, Madrid, Spain

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2009

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Abstract

We consider the problem of sensor selection in a heterogeneous sensor network when several types of binary sensors with different discrimination performance and costs are available. We want to analyze what is the optimal proportion of sensors of each class in a target detection problem when a total cost constraint is specified. We obtain the conditional distributions of the observations at the fusion center given the hypotheses, necessary to perform an optimal hypothesis test in this heterogeneous scenario. We characterize the performance of the tests by means of the symmetric KuUback-Leibler divergence, or J-divergence, applied to the conditional distributions under each hypothesis. By formulating the sensor selection as a constrained maximization problem, and showing the linearity of the J-divergence with the number of sensors of each class, we found that the optimal proportion of sensors is "winner takes all" like. The sensor class with the best performance/cost ratio is selected.